This paper describes surface evolution formulated in terms of a Hamilton-Ja
cobi equation and a solution algorithm based on a three-dimensional front t
racking algorithm. Our method achieves sharp resolution in the evolution of
surface edges and corners.
This study is motivated by semiconductor chip evolution during deposition a
nd resputtering processes. For this reason, we discuss here the effects of
diffuse rescattering on surface features.
We illustrate some of the three-dimensional capabilities of the front track
ing algorithm. We also present a validation study by display of two-dimensi
onal cross sections of three-dimensional simulations of a finite-length tre
nch. The cross sections correspond to two-dimensional simulations of S. Ham
aguchi and S. M. Rossnagel [J. Vac. Sci. Technol. B, 13 (1995), pp. 183-191
].